Respuesta :

It should be x=9/2 and 1/2

Answer:

this would equal [tex]\frac{9}{2}[/tex] or [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Let's solve your equation step-by-step.

|2x−5|=4

Solve Absolute Value.

|2x−5|=4

We know either 2x−5=4or2x−5=−4

2x−5=4 (Possibility 1)

2x−5+5=4+5 (Add 5 to both sides)

2x=9

[tex]\frac{2x}{2}*\frac{9}{2}[/tex](Divide both sides by 2)

x = [tex]\frac{9}{2}[/tex]

(Possibility 2)

2x−5=−4

2x−5+5=−4+5 (Add 5 to both sides)

2x=1

[tex]\frac{2x}{2}*\frac{1}{2}[/tex]   (Divide both sides by 2)

x = [tex]\frac{1}{2}[/tex]

If you have any questions feel free to ask in the comments - Mark

ALSO Happy Valentines Day ❤️